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Finding the Fourth Proportional to 81,706.32, 112,734.84 and 47,695.43

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Solution

The fourth proportional to 81,706.32, 112,734.84 and 47,695.43 is: 65,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,706.32 : 112,734.84 = 47,695.43 : x
  2. Step 2: Convert to fraction form
    81,706.32/112,734.84 = 47,695.43/x
  3. Step 3: Cross multiply
    81,706.32x = 112,734.84 × 47,695.43
  4. Step 4: Simplify right side
    81,706.32x = 5,376,936,862.19
  5. Step 5: Solve for x
    x = 5,376,936,862.19/81,706.32
  6. Step 6: Final answer
    x = 65,808.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.